25 research outputs found
On Riemannian geometry of orthonormal frame bundles
Get PDFO. Kowalski and the present author have studied systematically Riemannian geometry of the metric on the orthonormal frame bundle induced by the Sasaki-Mok metric on the linear frame bundle. We have also studied more general metrics which rescale the horizontal part by a nonzero constant. In particular, we have obtained nonstandard Einstein metrics and also metrics with zero scalar curvature on the orthonormal frame bundles over any space of constant sectional curvature. In the present paper, we shall survey our results without detailed proofs
Non Conventional Medicine in Italy. History, Problems, Prospects for Integration
Get PDFsummary:We shall survey our work on Riemannian geometry of tangent sphere bundles with arbitrary constant radius done since the year 2000
Natural transformations of vector fields on manifolds to vector fields on tangent bundles
No full textNatural Transformations of Symmetric Affine Connections on Manifolds to Metrics on Linear Frame Bundles: a Classification.
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Local isometry classes of Riemannian -manifolds with constant Ricci eigenvalues \rho\sb 1=\rho\sb 2\neq \rho\sb 3 > 0
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